From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2504 Path: news.gmane.org!not-for-mail From: Marco Grandis Newsgroups: gmane.science.mathematics.categories Subject: Preprint: Equilogical spaces, homology and noncommutative geometry Date: Thu, 27 Nov 2003 14:05:37 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" X-Trace: ger.gmane.org 1241018709 4470 80.91.229.2 (29 Apr 2009 15:25:09 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:25:09 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Fri Nov 28 13:33:18 2003 -0400 X-Keywords: Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Fri, 28 Nov 2003 13:33:18 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 1APmPQ-0002DG-00 for categories-list@mta.ca; Fri, 28 Nov 2003 13:28:00 -0400 X-OriginalArrivalTime: 27 Nov 2003 13:05:19.0265 (UTC) FILETIME=[1BC20110:01C3B4E7] Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 37 Xref: news.gmane.org gmane.science.mathematics.categories:2504 Archived-At: The following preprint is available (in pdf and ps): Marco Grandis Equilogical spaces, homology and noncommutative geometry Dip. Mat. Univ. Genova, Preprint 491 (2003), 24 p. Abstract. After introducing singular homology for D. Scott's equilogical spaces, we show how these structures can express 'formal quotients' of topological spaces, which do not exist as ordinary spaces and are related with well-known noncommutative C*-algebras. This study also uses a wider notion of local maps between equilogical spaces, which might be of interest for the general theory of the latter. MSC: 18B30, 54A05, 55U10, 55Nxx, 46L80. Keywords: Equilogical spaces, cubical sets, singular homology, noncommutative C*-algebras. http://www.dima.unige.it/~grandis/Eql.pdf http://www.dima.unige.it/~grandis/Eql.ps Marco Grandis Dipartimento di Matematica Universita` di Genova Via Dodecaneso 35 16146-Genova, Italy e-mail: grandis@dima.unige.it home page: http://www.dima.unige.it/~grandis/